(x – 3)² – 10 = 15
↓
[tex] {x}^{2} - 6x + 9 - 10 = 15[/tex]
[tex] {x}^{2} - 6x - 1 = 15[/tex]
[tex] {x}^{2} - 6x - 15 = 0[/tex]
[tex] {x}^{2} + 2x - 8x - 1 - 15 = 0[/tex]
[tex] {x}^{2} + 2x - 8x - 16 = 0[/tex]
[tex]x \times (x + 2) - 8x - 16 = 0[/tex]
[tex]x \times (x + 2) - 8(x + 2) = 0[/tex]
[tex](x + 2) \times (x - 8) = 0[/tex]
[tex]x + 2 = 0[/tex]
[tex]x - 8 = 0[/tex]
so,
[tex]x1 = - 2[/tex]
[tex]x2 = 8[/tex]
Find the area of this isosceles trapezoid. A) 85.5 units2 B) 171 units2 C) 342 units? 345 units?
9514 1404 393
Answer:
B) 171 units^2
Step-by-step explanation:
The area is given by the formula ...
A = 1/2(b1 +b2)h
Filling in the given base and height values, we find the area to be ...
A = 1/2(23 +15)(9) = (19)(9) = 171 . . . square units
_____
Additional comment
You can select the correct answer choice simply on the basis of "reasonableness." If this were a 9×15 rectangle, its area would be 9×15 = 135 square units, more than 85.5. You know its area is less than a 9×23 rectangle, so is less than 9×23 = 207 square units. Only one answer choice is a value between 135 and 207.
__
Multiplication by 9 is not so hard. It is multiplication by 10-1:
15×9 = 15×(10 -1) = 150 -15 = 135
what is the vertex of the graph show Below?
Answer:
(-3, -2)
Step-by-step explanation:
"If the parabola opens up, the vertex represents the lowest point on the graph". By looking at the graph, we can see that the lowest point is (-3, -2).
find the exact value of tan A in simplest radical form
Answer:
they might not be the same numbers but you can do it with all of the step-by-step explanations I gave you just with the numbers you have
Step-by-step explanation:
Triangle ABC is a right angle triangle.
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠A as the reference angle,
AC represents the adjacent side of the right angle triangle.
BC represents the opposite side of the right angle triangle.
To determine tan m∠A, we would apply the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan A = √32/2 = (√16 × √2)/2
Tan A = (4√2)/2
Tan A = 2√2
Problem Solving
Find the exact solution of each equation for 0 and greater than or equal to q and less than 2pi.
4 cos^2q=3
Need help with this math question 15 points
QUICK!! GIVING BRAINLIEST TO CORRECT ANSWER QUICK!!
Answer:
Im fairly sure it is 45ft^3
Answer:
[tex]45ft^{2}[/tex]
Step-by-step explanation:
V=L*W*H
evaluate -5/z for z=5
Answer:-5/z ; z=5 solution -1
Step-by-step explanation:
-5/5
Please help will give brainly
11^2=
Answer:
11^2 = 121.
11 * 11 = 121.
AnSwer:
Step-by-step explanation:
YOUR ANSEWR IS
121 Evaluate.
Help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is option C
Step-by-step explanation:
Because it is parallel and it is true that since it is all even it will be a better supply to use
For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?
Answer:
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{7}{2}x - 16[/tex]
Required
The difference quotient for h
The difference quotient is calculated as:
[tex]\frac{f(x + h) - f(x)}{ h}[/tex]
Calculate f(x + h)
[tex]f(x) = \frac{7}{2}x - 16[/tex]
[tex]f(x+h) = \frac{7}{2}(x+h) - 16[/tex]
[tex]f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16[/tex]
The numerator of [tex]\frac{f(x + h) - f(x)}{ h}[/tex] is:
[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)[/tex]
[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16[/tex]
Collect like terms
[tex]f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16[/tex]
[tex]f(x + h) - f(x) = \frac{7}{2}h[/tex]
So, we have:
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h[/tex]
Rewrite as:
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}[/tex]
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]
Answer:
It is A.
Step-by-step explanation:
Just took the test
Given m || n, find the value of x and y.
(5x+16)
m
(y+6)
(7x+4)
n
Answer:
3<+2=13 is the answer
Step-by-step explanation:
I’m very confused can someone help me o
PLEASE HELP (failing this class and this is a 100 point assignment) (i mark brainlist)
II. Write whether each number is an EXPRESSION or an EQUATION.
11.
2 + 5
12.
2 + 5 = 7
Ć XLN13.
4x = 12
14.
X + 25
15.
16-6 = 10
Answer:
11. Expression
12. Equation
13. Equation
14. Expression
15. Equation
Step-by-step explanation:
Expression:
Has no equal sign.
Equation:
Has equal sign.
11. 2 + 5
14. X + 25
Those which do not have the equal sign are expressions.
12. 2 + 5 = 7
13. 4x = 12
15. 16 - 6 = 10
Those with the equal sign are equations.
Brody deposited $500 into an account that earns 4.2% interest compounded annually. He makes no additional deposits and no withdrawals. How much interest will the account have earned after 7 years?
A $167
B $420
C $542
D $665
Explain correctly. No nonsense, please.
Thank you
there are 420 students in a school 1/3 if the population is made up of girl
can anyone help me with this?
Answer:
120 degrees is x
Step-by-step explanation:
because both are equal angles
btw nice Pikachu meme
A boy collects a total of 316 stamps, sticker and coins altogether. He collects 4 times as many stamps as stickers. There are 46 coins. How many stamps are there?
Answer:
216 stamps
Step-by-step explanation:
Stamps =4x
stickers=x
coins=46
4x+x+46=316 (stamps, stickers and coins)
5x=270
x=54 (stickers)
4x=stamps
4(54)=stamps
216=stamps
check answer
54 (stickers)+216(stamps)+46 (coins)=316
316=316
Round 893.38 to the nearest tenth
I need to find the slope... I need help please no links or I will report you
Can someone help to show the steps and answer the question in the image please?
Answer:
B
Step-by-step explanation:
You just need to find the volumes of both container and soap and divide them. So;
Volume of Soap = 15cm * 8cm * 6cm = 720 cm^3
Volume of Container = 165cm * 40cm * 96cm = 633600 cm^3
Dividing them gives = 633600 cm^3 / 720 cm^3 = 880
Answer is B.
If 8,a,b,27 are in geometric sequence, find the value of a and b.
Answer:
a = 12 and b = 18
Step-by-step explanation:
Given that,
8,a,b,27 are in geometric sequence.
For a GP, the nth term is given by :
[tex]a_n=ar^{n-1}[/tex]
Put n = 4
[tex]a_4=ar^{4-1}\\\\a_4=ar^3\\\\27=8\times r^3\\\\r^3=\dfrac{27}{8}\\\\r=\dfrac{3}{2}=1.5[/tex]
Put n = 2,
[tex]a_2=ar^{2-1}\\\\a=ar\\\\a=8\times 1.5\\\\a=12[/tex]
Put n = 3
[tex]a_3=ar^2\\\\=8\times 1.5^2\\\\b =18[/tex]
So, the values of a and b is 12 and 18 respectively.
Questions
The distances covered by each of two runners during the first 21 minutes of a race are
shown in the graph below. The time at which one runner passes the other is between
(A 2 minutes and 3 minutes
(B 6 minutes and 9 minutes
(C 9 minutes and 12 minutes
(D 18 minutes and 21 minutes
Answer: 9 minutes and 12 minutes
Step-by-step explanation:
Kendra found two worms in the yard and measured them with a ruler. One worm was 7 2/3 inches long. The other worm was 2 1/6 inches long. How much longer was the longer worm?
Write your answer as a fraction or as a whole or mixed number.
Answer:
5½ inches
Step-by-step explanation:
7⅔ - 2 1/6 = 7 4/6 - 2 1/6 = 5 3/6 = 5½
Find the area of square that can be inscribed in circle of radius 8cm
Answer:
A≈201.06cm²
Step-by-step explanation:
I need an answer now. 6-|p+7|=-9 Will give brainlyest
Answer:
p=8, -22
Step-by-step explanation:
Move 6 to the other side
-|p+7|=-15
Now move the - symbol to the other side
|p+7|=15
Now
p+7=15
and
p+7=-15
Solve both the equation
p=8, -22
Hope this helps!
Determine whether the statement is always, sometimes, or never true. Lines AB, CD, and EF determine plan P. If GH intersects AB, then GH lies on plan P.
=======================================================
Explanation:
The plane P can be thought of a perfectly flat ground. Now imagine a flag pole which represents line GH. If AB is drawn in chalk on the pavement, and this line AB intersects the base of the flagpole, then we've made AB and GH intersect. However, this example shows that GH is not on the plane P.
Is it possible to have GH be in the the plane? Yes. We could easily draw another chalk line on the ground to have it intersect AB somewhere. But as the previous paragraph says, it's also possible that GH is not in the plane.
Therefore, the statement is sometimes true
Which number is NOT classified as an integer ? a) -4 b) -1.5 c) 0 d ) 5
Answer:
b)-1.5
Step-by-step explanation:
The graph shows the relationship between the amount of milk and water used in a recipe. Ask Your Teacher What rule relates the amount of milk to the amount of water?
Answer:
i would like to have the pic of the graph and ill help asap
Step-by-step explanation:
A chicken farmer can produce one crate of eggs at a cost of $9.86, and can sell that crate for $34.24. If the farmer has a starting overhead cost of $7,312, not including production costs, how many crates must be sold in order to realize a profit of $11,300, to the nearest crate?
a.
164
b.
330
c.
463
d.
763
Answer:
The answer is D 763.
Step-by-step explanation:
Don't have an explanation
A chicken farmer needs to sell 763 crates to realize a profit of $11,300.
Equation
A statement of equivalence between two expressions containing variables and/or numbers is called an equation. In essence, equations are questions, and attempts to discover systematic answers to those questions have spurred the development of mathematics.
Equation according to the given information
Based on the given information describe the problem is equation.
(34.24 × x) - (7312 + 9.86x) = 11300
34.24x - 7312 - 9.86x = 11300
34.24x - 9.86x = 11300 + 7312
24.38x = 18612
x = 18612 / 24.38
x = 763
Hence chicken farmers need to sell 763 crate
Learn more about equations here: brainly.com/question/25876690
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